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Finding the Third Proportional to 210,372 and 457,032

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Solution

The third proportional to 210,372 and 457,032 is: 992,899.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,372 : 457,032 = 457,032 : x
  2. Step 2: Convert to fraction form
    210,372/457,032 = 457,032/x
  3. Step 3: Cross multiply
    210,372x = 457,032 × 457,032
  4. Step 4: Simplify right side
    210,372x = 208,878,249,024
  5. Step 5: Solve for x
    x = 208,878,249,024/210,372
  6. Step 6: Final answer
    x = 992,899.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.